TSTP Solution File: SEU188+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU188+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:28:27 EDT 2024
% Result : Theorem 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 56 ( 7 unt; 0 def)
% Number of atoms : 141 ( 39 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 144 ( 59 ~; 57 |; 16 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 24 ( 21 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f971,plain,
$false,
inference(avatar_sat_refutation,[],[f910,f951,f953,f968,f970]) ).
fof(f970,plain,
~ spl64_1,
inference(avatar_contradiction_clause,[],[f969]) ).
fof(f969,plain,
( $false
| ~ spl64_1 ),
inference(subsumption_resolution,[],[f966,f485]) ).
fof(f485,plain,
empty_set != sK12,
inference(cnf_transformation,[],[f329]) ).
fof(f329,plain,
( empty_set != sK12
& ( empty_set = relation_rng(sK12)
| empty_set = relation_dom(sK12) )
& relation(sK12) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f184,f328]) ).
fof(f328,plain,
( ? [X0] :
( empty_set != X0
& ( empty_set = relation_rng(X0)
| empty_set = relation_dom(X0) )
& relation(X0) )
=> ( empty_set != sK12
& ( empty_set = relation_rng(sK12)
| empty_set = relation_dom(sK12) )
& relation(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
? [X0] :
( empty_set != X0
& ( empty_set = relation_rng(X0)
| empty_set = relation_dom(X0) )
& relation(X0) ),
inference(flattening,[],[f183]) ).
fof(f183,plain,
? [X0] :
( empty_set != X0
& ( empty_set = relation_rng(X0)
| empty_set = relation_dom(X0) )
& relation(X0) ),
inference(ennf_transformation,[],[f157]) ).
fof(f157,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( ( empty_set = relation_rng(X0)
| empty_set = relation_dom(X0) )
=> empty_set = X0 ) ),
inference(negated_conjecture,[],[f156]) ).
fof(f156,conjecture,
! [X0] :
( relation(X0)
=> ( ( empty_set = relation_rng(X0)
| empty_set = relation_dom(X0) )
=> empty_set = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_relat_1) ).
fof(f966,plain,
( empty_set = sK12
| ~ spl64_1 ),
inference(resolution,[],[f963,f623]) ).
fof(f623,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f160]) ).
fof(f160,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f963,plain,
( empty(sK12)
| ~ spl64_1 ),
inference(subsumption_resolution,[],[f962,f483]) ).
fof(f483,plain,
relation(sK12),
inference(cnf_transformation,[],[f329]) ).
fof(f962,plain,
( ~ relation(sK12)
| empty(sK12)
| ~ spl64_1 ),
inference(subsumption_resolution,[],[f961,f585]) ).
fof(f585,plain,
empty(empty_set),
inference(cnf_transformation,[],[f57]) ).
fof(f57,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f961,plain,
( ~ empty(empty_set)
| ~ relation(sK12)
| empty(sK12)
| ~ spl64_1 ),
inference(superposition,[],[f629,f905]) ).
fof(f905,plain,
( empty_set = relation_dom(sK12)
| ~ spl64_1 ),
inference(avatar_component_clause,[],[f903]) ).
fof(f903,plain,
( spl64_1
<=> empty_set = relation_dom(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl64_1])]) ).
fof(f629,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f264]) ).
fof(f264,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f263]) ).
fof(f263,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_dom(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_relat_1) ).
fof(f968,plain,
( ~ spl64_1
| spl64_2 ),
inference(avatar_contradiction_clause,[],[f967]) ).
fof(f967,plain,
( $false
| ~ spl64_1
| spl64_2 ),
inference(subsumption_resolution,[],[f964,f908]) ).
fof(f908,plain,
( empty_set != relation_rng(sK12)
| spl64_2 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f907,plain,
( spl64_2
<=> empty_set = relation_rng(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl64_2])]) ).
fof(f964,plain,
( empty_set = relation_rng(sK12)
| ~ spl64_1 ),
inference(resolution,[],[f963,f837]) ).
fof(f837,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(X0) ),
inference(resolution,[],[f626,f623]) ).
fof(f626,plain,
! [X0] :
( empty(relation_rng(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
! [X0] :
( ( relation(relation_rng(X0))
& empty(relation_rng(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0] :
( empty(X0)
=> ( relation(relation_rng(X0))
& empty(relation_rng(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc8_relat_1) ).
fof(f953,plain,
~ spl64_2,
inference(avatar_contradiction_clause,[],[f952]) ).
fof(f952,plain,
( $false
| ~ spl64_2 ),
inference(subsumption_resolution,[],[f949,f485]) ).
fof(f949,plain,
( empty_set = sK12
| ~ spl64_2 ),
inference(resolution,[],[f946,f623]) ).
fof(f946,plain,
( empty(sK12)
| ~ spl64_2 ),
inference(subsumption_resolution,[],[f945,f483]) ).
fof(f945,plain,
( ~ relation(sK12)
| empty(sK12)
| ~ spl64_2 ),
inference(subsumption_resolution,[],[f944,f585]) ).
fof(f944,plain,
( ~ empty(empty_set)
| ~ relation(sK12)
| empty(sK12)
| ~ spl64_2 ),
inference(superposition,[],[f628,f909]) ).
fof(f909,plain,
( empty_set = relation_rng(sK12)
| ~ spl64_2 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f628,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f261]) ).
fof(f261,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_rng(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_relat_1) ).
fof(f951,plain,
( spl64_1
| ~ spl64_2 ),
inference(avatar_contradiction_clause,[],[f950]) ).
fof(f950,plain,
( $false
| spl64_1
| ~ spl64_2 ),
inference(subsumption_resolution,[],[f948,f904]) ).
fof(f904,plain,
( empty_set != relation_dom(sK12)
| spl64_1 ),
inference(avatar_component_clause,[],[f903]) ).
fof(f948,plain,
( empty_set = relation_dom(sK12)
| ~ spl64_2 ),
inference(resolution,[],[f946,f834]) ).
fof(f834,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(X0) ),
inference(resolution,[],[f624,f623]) ).
fof(f624,plain,
! [X0] :
( empty(relation_dom(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f259,plain,
! [X0] :
( ( relation(relation_dom(X0))
& empty(relation_dom(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( empty(X0)
=> ( relation(relation_dom(X0))
& empty(relation_dom(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_relat_1) ).
fof(f910,plain,
( spl64_1
| spl64_2 ),
inference(avatar_split_clause,[],[f484,f907,f903]) ).
fof(f484,plain,
( empty_set = relation_rng(sK12)
| empty_set = relation_dom(sK12) ),
inference(cnf_transformation,[],[f329]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU188+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 11:45:58 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (21975)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (21978)WARNING: value z3 for option sas not known
% 0.14/0.38 % (21976)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (21978)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (21977)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (21979)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (21980)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (21981)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (21982)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.40 % (21978)First to succeed.
% 0.14/0.40 % (21981)Also succeeded, but the first one will report.
% 0.14/0.40 % (21978)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21975"
% 0.14/0.40 % (21978)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Theorem for theBenchmark
% 0.14/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40 % (21978)------------------------------
% 0.14/0.40 % (21978)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.40 % (21978)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (21978)Memory used [KB]: 1391
% 0.14/0.40 % (21978)Time elapsed: 0.021 s
% 0.14/0.40 % (21978)Instructions burned: 30 (million)
% 0.14/0.40 % (21975)Success in time 0.04 s
%------------------------------------------------------------------------------